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Finding the Fourth Proportional to 71,662.31, 107,508.77 and 24,275.77

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Solution

The fourth proportional to 71,662.31, 107,508.77 and 24,275.77 is: 36,418.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,662.31 : 107,508.77 = 24,275.77 : x
  2. Step 2: Convert to fraction form
    71,662.31/107,508.77 = 24,275.77/x
  3. Step 3: Cross multiply
    71,662.31x = 107,508.77 × 24,275.77
  4. Step 4: Simplify right side
    71,662.31x = 2,609,857,965.42
  5. Step 5: Solve for x
    x = 2,609,857,965.42/71,662.31
  6. Step 6: Final answer
    x = 36,418.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.